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101222010001 = 7149283342929
BaseRepresentation
bin101111001000101001…
…1010100110010010001
3100200021100001212211101
41132101103110302101
53124300313310001
6114300054544401
710212242613610
oct1362123246221
9320240055741
10101222010001
1139a23205322
121774b068101
139711a3c198
144c8347d877
152976671a01
hex17914d4c91

101222010001 has 16 divisors (see below), whose sum is σ = 116870544000. Its totient is φ = 85874658048.

The previous prime is 101222009981. The next prime is 101222010007. The reversal of 101222010001 is 100010222101.

It is a cyclic number.

It is not a de Polignac number, because 101222010001 - 223 = 101213621393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101222010001.

It is not an unprimeable number, because it can be changed into a prime (101222010007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123705 + ... + 466633.

It is an arithmetic number, because the mean of its divisors is an integer number (7304409000).

Almost surely, 2101222010001 is an apocalyptic number.

It is an amenable number.

101222010001 is a deficient number, since it is larger than the sum of its proper divisors (15648533999).

101222010001 is a wasteful number, since it uses less digits than its factorization.

101222010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343368.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101222010001 its reverse (100010222101), we get a palindrome (201232232102).

The spelling of 101222010001 in words is "one hundred one billion, two hundred twenty-two million, ten thousand, one".

Divisors: 1 7 149 283 1043 1981 42167 295169 342929 2400503 51096421 97048907 357674947 679342349 14460287143 101222010001